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# equation of line

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Write an equation of the line containing the points (-6,19) and (-14,30).

Dec 6, 2020

#1
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Points in form (x,y): (-6,19) and (-14,30).

Equation: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept.

Slope = $\dfrac {y_1-y_2}{x_1-x_2}\\\implies-\dfrac{11}8$

So $y=-\frac{11}8x+b$

Plug in $x$ and $y$ from any coordinates given to get $b$...

$\color {red}{19=\frac {11}8\cdot-6+b\\\implies19=8.25+b\\\implies10.75=b\\\implies b=43/4}$

So... $\color {red} {\boxed {y=-\frac {11}8x+43/4}}$

Dec 6, 2020
edited by Nacirema  Dec 6, 2020
edited by Nacirema  Dec 6, 2020
edited by Nacirema  Dec 6, 2020
#2
+345
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I messed up and found my err. I have edited in the corrections. My apologies.

In red is what I have corrected.

Nacirema  Dec 6, 2020
edited by Nacirema  Dec 6, 2020